-
1
-
-
0002931349
-
On the spectral decomposition of Hermitian matrices modified by low rank perturbations with applications
-
P. ARBENZ AND G. H. GOLUB, On the spectral decomposition of Hermitian matrices modified by low rank perturbations with applications, SIAM J. Matrix Anal. Appl., 9 (1988), pp. 40-58.
-
(1988)
SIAM J. Matrix Anal. Appl.
, vol.9
, pp. 40-58
-
-
Arbenz, P.1
Golub, G.H.2
-
2
-
-
0000845335
-
Local mesh refinement multilevel techniques
-
D. BAI AND A. BRANDT, Local mesh refinement multilevel techniques, SIAM J. Sci. Statist. Comput., 8 (1987), pp. 109-134.
-
(1987)
SIAM J. Sci. Statist. Comput.
, vol.8
, pp. 109-134
-
-
Bai, D.1
Brandt, A.2
-
3
-
-
0010457766
-
Multiscale computation of polymer models
-
Multiscale Computational Methods in Chemistry and Physics, A. Brandt, J. Bernholc, and K. Binder, eds., IOS Press, The Netherlands
-
D. BAI AND A. BRANDT, Multiscale computation of polymer models, in Multiscale Computational Methods in Chemistry and Physics, A. Brandt, J. Bernholc, and K. Binder, eds., NATO Science Series III: Computer and Systems Sciences, NATO Science Series 177, IOS Press, The Netherlands, 2001, pp. 250-266.
-
(2001)
NATO Science Series III: Computer and Systems Sciences, NATO Science Series
, vol.177
, pp. 250-266
-
-
Bai, D.1
Brandt, A.2
-
4
-
-
0000000860
-
Guide to multigrid development
-
Multigrid Methods (Cologne, 1981), W. Hackbusch and U. Trottenberg, eds., Springer-Verlag, Berlin
-
A. BRANDT, Guide to multigrid development, in Multigrid Methods (Cologne, 1981), W. Hackbusch and U. Trottenberg, eds., Lecture Notes in Math. 960, Springer-Verlag, Berlin, 1982, pp. 220-312.
-
(1982)
Lecture Notes in Math.
, vol.960
, pp. 220-312
-
-
Brandt, A.1
-
5
-
-
0026413037
-
Multilevel computations of integral transforms and particle interactions with oscillatory kernels
-
A. BRANDT, Multilevel computations of integral transforms and particle interactions with oscillatory kernels, Comput. Phys. Comm., 65 (1991), pp. 471-476.
-
(1991)
Comput. Phys. Comm.
, vol.65
, pp. 471-476
-
-
Brandt, A.1
-
6
-
-
0142096515
-
Multiscale scientific computation: Review 2001
-
Multiscale and Multiresolution Methods: Theory and Applications, T. J. Barth, T. F. Chan, and R. Haimes, eds., Springer-Verlag, Heidelberg
-
A. BRANDT, Multiscale scientific computation: Review 2001, in Multiscale and Multiresolution Methods: Theory and Applications, T. J. Barth, T. F. Chan, and R. Haimes, eds., Lect. Notes Comput. Sci. Eng. 20, Springer-Verlag, Heidelberg, 2001, pp. 3-96.
-
(2001)
Lect. Notes Comput. Sci. Eng.
, vol.20
, pp. 3-96
-
-
Brandt, A.1
-
7
-
-
28144464582
-
Multilevel matrix multiplication and the fast solution of integral equations
-
A. BRANDT AND A. A. LUBRECHT, Multilevel matrix multiplication and the fast solution of integral equations. J. Comput. Phys., 90 (1990), pp. 348-370.
-
(1990)
J. Comput. Phys.
, vol.90
, pp. 348-370
-
-
Brandt, A.1
Lubrecht, A.A.2
-
8
-
-
0003813360
-
-
Report WI/GC-5, Weizmann Institute of Science, Rehovot, Israel
-
A. BRANDT AND C. H. VENNER, Multilevel Evaluation of Integral Transforms on Adaptive Grids, Report WI/GC-5, Weizmann Institute of Science, Rehovot, Israel, 1996.
-
(1996)
Multilevel Evaluation of Integral Transforms on Adaptive Grids
-
-
Brandt, A.1
Venner, C.H.2
-
9
-
-
0001027112
-
Multilevel evaluation of integral transforms with asymptotically smooth kernels
-
A. BRANDT AND C. H. VENNER, Multilevel evaluation of integral transforms with asymptotically smooth kernels, SIAM J. Sci. Comput., 19 (1998), pp. 468-492.
-
(1998)
SIAM J. Sci. Comput.
, vol.19
, pp. 468-492
-
-
Brandt, A.1
Venner, C.H.2
-
10
-
-
34250270918
-
Updating the singular value decomposition
-
J. R. BUNCH AND C. P. NIELSEN, Updating the singular value decomposition, Numer. Math., 31 (1978), pp. 111-129.
-
(1978)
Numer. Math.
, vol.31
, pp. 111-129
-
-
Bunch, J.R.1
Nielsen, C.P.2
-
11
-
-
0002316189
-
Rank-one modification of the symmetric eigenproblem
-
J. R. BUNCH, C. P. NIELSEN, AND D. C. SORENSEN, Rank-one modification of the symmetric eigenproblem, Numer. Math., 31 (1978), pp. 31-48.
-
(1978)
Numer. Math.
, vol.31
, pp. 31-48
-
-
Bunch, J.R.1
Nielsen, C.P.2
Sorensen, D.C.3
-
12
-
-
0001238977
-
A fast adaptive multipole algorithm for particle simulations
-
J. CARRIER, L. GREENGARD, AND V. ROKHLIN, A fast adaptive multipole algorithm for particle simulations, SIAM J. Sci. Statist. Comput., 9 (1988), pp. 669-686.
-
(1988)
SIAM J. Sci. Statist. Comput.
, vol.9
, pp. 669-686
-
-
Carrier, J.1
Greengard, L.2
Rokhlin, V.3
-
13
-
-
0013043469
-
Solving quadratically constrained least squares using black box solvers
-
T. F. CHAN, J. A. OLKIN, AND D. W. COOLEY, Solving quadratically constrained least squares using black box solvers, BIT, 32 (1992), pp. 481-495.
-
(1992)
BIT
, vol.32
, pp. 481-495
-
-
Chan, T.F.1
Olkin, J.A.2
Cooley, D.W.3
-
14
-
-
0000659575
-
A divide and conquer method for the tridiagonal eigenproblem
-
J. J. M. CUPPEN, A divide and conquer method for the tridiagonal eigenproblem, Numer. Math., 36 (1981), pp. 177-195.
-
(1981)
Numer. Math.
, vol.36
, pp. 177-195
-
-
Cuppen, J.J.M.1
-
15
-
-
0000417182
-
A fully parallel algorithm for the symmetric eigenvalue problem
-
J. J. DONGARRA AND D. C. SORENSEN, A fully parallel algorithm for the symmetric eigenvalue problem, SIAM J. Sci. Statist. Comput., 8 (1987), pp. S139-S154.
-
(1987)
SIAM J. Sci. Statist. Comput.
, vol.8
-
-
Dongarra, J.J.1
Sorensen, D.C.2
-
17
-
-
0001046905
-
On the stationary values of a second-degree polynomial on the unit sphere
-
G. E. FORSYTHE AND G. H. GOLUB, On the stationary values of a second-degree polynomial on the unit sphere, J. Soc. Indust. Appl. Math., 13 (1965), pp. 1050-1068.
-
(1965)
J. Soc. Indust. Appl. Math.
, vol.13
, pp. 1050-1068
-
-
Forsythe, G.E.1
Golub, G.H.2
-
18
-
-
0000288741
-
An algorithm for subspace computation with applications in signal processing
-
D. R. FUHRMANN, An algorithm for subspace computation with applications in signal processing, SIAM J. Matrix Anal. Appl., 9 (1988), pp. 213-220.
-
(1988)
SIAM J. Matrix Anal. Appl.
, vol.9
, pp. 213-220
-
-
Fuhrmann, D.R.1
-
19
-
-
0019370951
-
Least squares with a quadratic constraint
-
W. GANDER, Least squares with a quadratic constraint, Numer. Math., 36 (1981), pp. 291-307.
-
(1981)
Numer. Math.
, vol.36
, pp. 291-307
-
-
Gander, W.1
-
20
-
-
38249023522
-
A constrained eigenvalue problem
-
W. GANDER, G. H. GOLUB, AND U. VON MATT, A constrained eigenvalue problem, Linear Algebra Appl., 114/115 (1989), pp. 815-839.
-
(1989)
Linear Algebra Appl.
, vol.114-115
, pp. 815-839
-
-
Gander, W.1
Golub, G.H.2
Von Matt, U.3
-
21
-
-
0013135929
-
2) method for computing the eigensystem of N × N symmetric tridiagonal matrices by the divide and conquer approach
-
2) method for computing the eigensystem of N × N symmetric tridiagonal matrices by the divide and conquer approach, SIAM J. Sci. Statist. Comput., 11 (1990), pp. 161-173.
-
(1990)
SIAM J. Sci. Statist. Comput.
, vol.11
, pp. 161-173
-
-
Gill, D.1
Tadmor, E.2
-
22
-
-
0001070999
-
Some modified matrix eigenvalue problems
-
G. H. GOLUB, Some modified matrix eigenvalue problems, SIAM Rev., 15 (1973) pp. 318-334.
-
(1973)
SIAM Rev.
, vol.15
, pp. 318-334
-
-
Golub, G.H.1
-
23
-
-
0001678475
-
Quadratically constrained least squares and quadratic problems
-
G. H. GOLUB AND U. VON MATT, Quadratically constrained least squares and quadratic problems, Numer. Math., 59 (1991), pp. 561-580.
-
(1991)
Numer. Math.
, vol.59
, pp. 561-580
-
-
Golub, G.H.1
Von Matt, U.2
-
24
-
-
0000429893
-
A divide and conquer method for unitary and orthogonal eigenproblems
-
W. B. GRAGG AND L. REICHEL, A divide and conquer method for unitary and orthogonal eigenproblems, Numer. Math., 57 (1990), pp. 695-718.
-
(1990)
Numer. Math.
, vol.57
, pp. 695-718
-
-
Gragg, W.B.1
Reichel, L.2
-
25
-
-
21844525426
-
A stable and efficient algorithm for the rank-one modification of the symmetric eigenproblem
-
M. GU AND S. C. EISENSTAT, A stable and efficient algorithm for the rank-one modification of the symmetric eigenproblem. SIAM J. Matrix Anal. Appl., 15 (1994), pp. 1266-1276.
-
(1994)
SIAM J. Matrix Anal. Appl.
, vol.15
, pp. 1266-1276
-
-
Gu, M.1
Eisenstat, S.C.2
-
26
-
-
21844526695
-
A divide-and-conquer algorithm for the symmetric tridiagonal eigenproblem
-
M. GU AND S. C. EISENSTAT, A divide-and-conquer algorithm for the symmetric tridiagonal eigenproblem, SIAM J. Matrix Anal. Appl., 16 (1995), pp. 172-191.
-
(1995)
SIAM J. Matrix Anal. Appl.
, vol.16
, pp. 172-191
-
-
Gu, M.1
Eisenstat, S.C.2
-
27
-
-
21344497096
-
Numerical solution of the eigenproblem for banded, symmetric Toeplitz matrices
-
S. L. HANDY AND J. L. BARLOW, Numerical solution of the eigenproblem for banded, symmetric Toeplitz matrices, SIAM J. Matrix Anal. Appl., 15 (1994), pp. 205-214.
-
(1994)
SIAM J. Matrix Anal. Appl.
, vol.15
, pp. 205-214
-
-
Handy, S.L.1
Barlow, J.L.2
-
28
-
-
0000088068
-
An adaptive numerical method for solving linear Fredholm integral equations of the first kind
-
R. HANSON AND J. PHILLIPS, An adaptive numerical method for solving linear Fredholm integral equations of the first kind, Numer. Math., 24 (1975), pp. 291-307.
-
(1975)
Numer. Math.
, vol.24
, pp. 291-307
-
-
Hanson, R.1
Phillips, J.2
-
29
-
-
0344862670
-
-
Ph. D. Thesis, Weizmann Institute of Science, Rehovot, Israel
-
O. E. LIVNE, Multiscale Eigenbasis Algorithms, Ph. D. Thesis, Weizmann Institute of Science, Rehovot, Israel, 2000.
-
(2000)
Multiscale Eigenbasis Algorithms
-
-
Livne, O.E.1
-
30
-
-
0344430822
-
O(N log N) multilevel calculation of N eigenfunctions
-
Multiscale Computational Methods in Chemistry and Physics, A. Brandt, J. Bernholc, and K. Binder, eds., IOS Press, The Netherlands
-
O. E. LIVNE AND A. BRANDT, O(N log N) multilevel calculation of N eigenfunctions, in Multiscale Computational Methods in Chemistry and Physics, A. Brandt, J. Bernholc, and K. Binder, eds., NATO Science Series III: Computer and Systems Sciences, NATO Science Series 177, IOS Press, The Netherlands, 2001, pp. 123-148.
-
(2001)
NATO Science Series III: Computer and Systems Sciences, NATO Science Series
, vol.177
, pp. 123-148
-
-
Livne, O.E.1
Brandt, A.2
-
31
-
-
0345293937
-
Multiscale eigenbasis calculations: N eigenfunctions in O(N log N)
-
Multiscale and Multiresolution Methods: Theory and Applications, T. J. Barth, T. F. Chan, and R. Haimes, eds., Springer-Verlag, Heidelberg
-
O. E. LIVNE AND A. BRANDT, Multiscale eigenbasis calculations: N eigenfunctions in O(N log N), in Multiscale and Multiresolution Methods: Theory and Applications, T. J. Barth, T. F. Chan, and R. Haimes, eds., Lect. Notes Comput. Sci. Eng. 20, Springer-Verlag, Heidelberg, 2001, pp. 347-358.
-
(2001)
Lect. Notes Comput. Sci. Eng.
, vol.20
, pp. 347-358
-
-
Livne, O.E.1
Brandt, A.2
-
32
-
-
84879517390
-
Numerical solution of a secular equation
-
A. MELMAN, Numerical solution of a secular equation, Numer. Math., 69 (1995), pp. 483-493.
-
(1995)
Numer. Math.
, vol.69
, pp. 483-493
-
-
Melman, A.1
-
33
-
-
0031540780
-
A unifying convergence analysis of second-order methods for secular equations
-
A. MELMAN, A unifying convergence analysis of second-order methods for secular equations,Math. Comp., 66 (1997), pp. 333-344.
-
(1997)
Math. Comp.
, vol.66
, pp. 333-344
-
-
Melman, A.1
-
34
-
-
0031276783
-
A numerical comparison of methods for solving secular equations
-
A. MELMAN, A numerical comparison of methods for solving secular equations, J. Comput. Appl. Math., 86 (1997), pp. 237-249.
-
(1997)
J. Comput. Appl. Math.
, vol.86
, pp. 237-249
-
-
Melman, A.1
-
35
-
-
0032341231
-
Analysis of third-order methods for secular equations
-
A. MELMAN, Analysis of third-order methods for secular equations, Math. Comp., 67 (1998), pp. 271-286.
-
(1998)
Math. Comp.
, vol.67
, pp. 271-286
-
-
Melman, A.1
-
36
-
-
34250516079
-
Smoothing by spline functions
-
C. H. REINSCH, Smoothing by spline functions, Numer. Math., 10 (1967), pp. 167-183.
-
(1967)
Numer. Math.
, vol.10
, pp. 167-183
-
-
Reinsch, C.H.1
-
37
-
-
11644266571
-
Smoothing by spline functions II
-
C. H. REINSCH, Smoothing by spline functions II, Numer. Math., 16 (1971), pp. 451-454.
-
(1971)
Numer. Math.
, vol.16
, pp. 451-454
-
-
Reinsch, C.H.1
-
38
-
-
0013137925
-
Solving the secular equation stably and efficiently
-
Technical report, Department of Mathematics, University of California, Berkeley, CA
-
R. C. LI, Solving the Secular Equation Stably and Efficiently, Technical report, Department of Mathematics, University of California, Berkeley, CA, 1993. LAPACK Working Note 89.
-
(1993)
LAPACK Working Note
, vol.89
-
-
Li, R.C.1
-
39
-
-
0345293936
-
Renormalization multigrid (RMG): Coarse-to-fine Monte Carlo acceleration and optimal derivation of macroscopic actions
-
Multiscale Computational Methods in Chemistry and Physics, A. Brandt, J. Bernholc, and K. Binder, eds., IOS Press, The Netherlands
-
D. RON AND A. BRANDT, Renormalization multigrid (RMG): Coarse-to-fine Monte Carlo acceleration and optimal derivation of macroscopic actions, in Multiscale Computational Methods in Chemistry and Physics, A. Brandt, J. Bernholc, and K. Binder, eds., NATO Science Series III: Computer and Systems Sciences, NATO Science Series 177, IOS Press, The Netherlands, 2001, pp. 163-186.
-
(2001)
NATO Science Series III: Computer and Systems Sciences, NATO Science Series
, vol.177
, pp. 163-186
-
-
Ron, D.1
Brandt, A.2
-
40
-
-
0035339718
-
Multiscale fast summation of long range charge and dipolar interactions
-
to appear
-
B. SANDAK AND A. BRANDT, Multiscale fast summation of long range charge and dipolar interactions, J. Comput. Chem., to appear.
-
J. Comput. Chem.
-
-
Sandak, B.1
Brandt, A.2
-
43
-
-
0003882610
-
Introduction to numerical analysis
-
Springer-Verlag, New York
-
J. STOER AND R. BULIRSCH, Introduction to Numerical Analysis, translation of Einführung in die Numerische, Springer-Verlag, New York, 1980.
-
(1980)
Einführung in die Numerische
-
-
Stoer, J.1
Bulirsch, R.2
-
45
-
-
0019912783
-
Analysis of some modified cell-averaging CFAR processes in multiple-target situations
-
M. WEISS, Analysis of some modified cell-averaging CFAR processes in multiple-target situations, IEEE Trans. Aerospace Electron. Systems, 18 (1982), pp. 102-114.
-
(1982)
IEEE Trans. Aerospace Electron. Systems
, vol.18
, pp. 102-114
-
-
Weiss, M.1
|